An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $14 m$ $14 m$ . If the wheel attached to the axle has a radius of $1 m$ $1 m$ , how much force is needed to raise the object?

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Answer 1 · 2017-05-09T10:58:05

The force is $= 411.6 N$ $=411.6N$

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The load L=(3g)N#

Radius of axle $r = 14 m$ $r=14m$

Radius of wheel $R = 1 m$ $R=1m$

Taking moments about the center of the axle

$F \cdot R = L \cdot r$ $F*R=L*r$

$F \cdot 1 = 3 \cdot g \cdot 14$ $F*1=3*g*14$

$F = \frac{3 \cdot g \cdot 14}{1} = 411.6 N$ $F=(3*g*14)/1=411.6N$

An object with a mass of 3kg3 kg is hanging from an axle with a radius of 14m14 m. If the wheel attached to the axle has a radius of 1m1 m, how much force is needed to raise the object?